Lee has some silver and pink marbles. The total mass of all his marbles is 223 g. He has 3 more pink marbles than silver marbles. The average mass of the silver marbles is 9 g. The average mass of the pink marbles is 16 g. How many marbles does Lee have altogether?
| |
Silver |
Pink |
Total |
| Number |
1 u |
1 u + 3 |
2 u + 3 |
| Value |
9 |
16 |
|
| Total value |
9 u |
16 u + 48 |
223 |
Total mass of silver marbles
= 1 u x 9
= 9 u
Total mass of pink marbles
= 16(1 u + 3)
= 16 u + 48
Total mass of the marbles
= 9 u + 16 u + 48
= 25 u + 48
25 u + 48 = 223
25 u = 223 - 48
25 u = 175
1 u = 175 ÷ 25 = 7
Total number of marbles
= 2 u + 3
= 2 x 7 + 3
= 14 + 3
= 48
Answer(s): 48
